Explore BrainMass

Explore BrainMass

    Probability : Exponential Density Function

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    #26
    Please see the attached file for full problem description.

    a) A lamp has two bulbs of a type with an average lifetime of 1000 hours. Assuming that we can model the probbility of failure of these bulbs by an exponential density function with mean mu = 1000. Find the probability that both of the bulbs fail in 1000 hours.
    b) Another lamp has one bulb of the same type. If it burns out , it is replaced with another. Find the probability that both fail within a total of 1000 hours.

    © BrainMass Inc. brainmass.com December 24, 2021, 4:56 pm ad1c9bdddf
    https://brainmass.com/math/probability/probability-exponential-density-function-17380

    Attachments

    Solution Summary

    Probabilities are calculated using an exponential density function with step-by-step details provided.

    $2.49

    ADVERTISEMENT